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Finding the Fourth Proportional to 6,337, 9,509.46 and 3,050.44

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Solution

The fourth proportional to 6,337, 9,509.46 and 3,050.44 is: 4,577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337 : 9,509.46 = 3,050.44 : x
  2. Step 2: Convert to fraction form
    6,337/9,509.46 = 3,050.44/x
  3. Step 3: Cross multiply
    6,337x = 9,509.46 × 3,050.44
  4. Step 4: Simplify right side
    6,337x = 29,008,037.16
  5. Step 5: Solve for x
    x = 29,008,037.16/6,337
  6. Step 6: Final answer
    x = 4,577.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.